The tent below is shaped like a triangular prism. EXPLAIN how you would determine the surface area of the tent to find the amount of fabric needed to make the tent. Remember to describe each face of the triangular prism.
Georgia Milestones Grade 7 Mathematics Formula Sheet
A tent is shaped like a triangular prism. Its bases have a height measuring 4 feet and a base measuring 5 feet. The faces have a length measuring 8 feet and a width measuring 4.75 feet.
(2 points)
0 / 10000 Word Limit
Skip to navigation
To determine the surface area of the tent, we first need to calculate the area of each face of the triangular prism.
The triangular bases of the prism have a height of 4 feet and a base of 5 feet. To find the area of each triangular base, we use the formula for the area of a triangle, which is (1/2)base x height. Therefore, the area of each triangular base is (1/2)(5)(4) = 10 square feet. Since there are two triangular bases, the total area of the triangular bases is 2 x 10 = 20 square feet.
Next, we calculate the area of the other three rectangular faces of the prism. The length of these faces is 8 feet and the width is 4.75 feet. To find the area of each rectangular face, we use the formula for the area of a rectangle, which is length x width. Therefore, the area of each rectangular face is 8 x 4.75 = 38 square feet. Since there are three rectangular faces, the total area of the rectangular faces is 3 x 38 = 114 square feet.
Finally, to find the total surface area of the tent, we add the area of the triangular bases and the area of the rectangular faces together: 20 square feet + 114 square feet = 134 square feet.
Therefore, the amount of fabric needed to make the tent is 134 square feet.